ar X iv : m at h / 95 02 21 2 v 1 [ m at h . C O ] 9 F eb 1 99 5 Dominance refinements of the Smirnov two - sample test
نویسنده
چکیده
We prove the following conjecture of Narayana: there are no nontrivial dominance refinements of the Smirnov two-sample test if and only if the two sample sizes are relatively prime. We also count the number of natural significance levels of the Smirnov two-sample test in terms of the sample sizes and relate this to the Narayana conjecture. In particular, Smirnov tests with relatively prime sample sizes turn out to have many more natural significance levels than do Smirnov tests whose sample sizes are not relatively prime (for example, equal sample sizes).
منابع مشابه
ar X iv : m at h / 07 02 24 5 v 1 [ m at h . C O ] 9 F eb 2 00 7 On Potentially K 5 − E 3 - graphic Sequences ∗
Let Km −H be the graph obtained from Km by removing the edges set E(H) of H where H is a subgraph of Km. We use the symbol A3 to denote P2 ∪K2. In this paper, we characterize the potentially K5 − P3, K5 −A3, K5 −K3 and K5 −K1,3-graphic sequences. Two characterizations of these imply two theorems due to Lai [11-12].
متن کاملar X iv : m at h / 99 02 02 5 v 1 [ m at h . O C ] 3 F eb 1 99 9 Notions of Input to Output Stability
This paper deals with several related notions of output stability with respect to inputs (which may be thought of as disturbances). The main such notion is called input to output stability (ios), and it reduces to input to state stability (iss) when the output equals the complete state. For systems with no inputs, ios provides a generalization of the classical concept of partial stability. Seve...
متن کاملar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY
متن کامل
ar X iv : m at h / 98 02 04 5 v 1 [ m at h . PR ] 9 F eb 1 99 8 STOCHASTIC BIFURCATION MODELS
We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trot-ter and Ray-Knight theorems), and on time and direction of bifurcation. A relationship with Lipschitz approximations to Brownian paths is also discussed.
متن کامل